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Violation of the scaling relation and non-Markovian nature of earthquake aftershocks

Author

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  • Abe, Sumiyoshi
  • Suzuki, Norikazu

Abstract

The statistical properties of earthquake aftershocks are studied. The scaling relation for exponents of the Omori law and the power-law calm time distribution (i.e., the interoccurrence time distribution), which is valid if a sequence of aftershocks is a singular Markovian process, is carefully examined. Data analysis shows significant violation of the scaling relation, implying the non-Markovian nature of aftershocks.

Suggested Citation

  • Abe, Sumiyoshi & Suzuki, Norikazu, 2009. "Violation of the scaling relation and non-Markovian nature of earthquake aftershocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1917-1920.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:9:p:1917-1920
    DOI: 10.1016/j.physa.2009.01.031
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    Cited by:

    1. Scherrer, T.M. & França, G.S. & Silva, R. & de Freitas, D.B. & Vilar, C.S., 2015. "Nonextensivity at the Circum-Pacific subduction zones—Preliminary studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 63-71.
    2. Xu, Yanjie & Ren, Tao & Liu, Yiyang & Li, Zhe, 2018. "Earthquake prediction based on community division," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 969-974.
    3. Deyasi, Krishanu & Chakraborty, Abhijit & Banerjee, Anirban, 2017. "Network similarity and statistical analysis of earthquake seismic data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 224-234.

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